We cannot treat charge and mass separately in the electron

If we believe in the Higgs null, then we believe that electrons can lose a bit of mass and gain a bit of charge.  We also have to believe that the electron can be destroyed on one place within the orbit and reformed in another. Our problem is the invention of the Higgs quant field, sorry, but it changes everything.

I will be using that equation above for the electron. Its solution is tanh(x), and that equation says the force acting on a unit circle is equal to the unit circle minus one unit of mass.

I will be placing the unit circle inside the hyperbolic arms and move it back and forth like a reversible shock wave.  When that electron moves down the X axis toward the proton, it gains a little mass and loses a little charge. The unit circle is moving to and fro within the hyperbolic arms, and the arms are conduits for removing and adding quants of Higgs null. (Somewhere around 3000-5000, to the nth power (n from 1-6 typically) little vacuum bubble of Higgs in each exchange.

It is impossible for any physicists to talk about distribution of charge without talking about distribution of Higgs nulls they are very similar constituents of the vacuum, except one is inert. The cube in that equation above results from the combined effect of less charge and more mass, in the unit circle, as it moves toward the proton.

Its not really charge

Its big bubbles(positive) vs smaller (negative) .  It about fitting inside the large proton sphere.  When the electron moves toward the proton, it gains more big bubbles, it don't fit any more in that direction. So those hyperbolic arms move big bubbles up one direction and small bubbles down the other. The quarks have the same feature, and they lock arms toward the center, and the other arm point outward, running along the surface. It is all local action, it is all relativistic.

The angle of that hyperbola, it is narrow at high energies,  more motion fits into smaller spaces, that is compaction.  It is all about three bubble sizes and in the process of trying to fit, they have curved space, small bubble toward the center.

Why are quarks different?

 The Efimov effect.  The arms of the hyperbola do not [point toward the center. The do little movement to and from the center because the exchange is along the surface of the sphere and the arms are parallel with the sphere surface and exchange only with two  neighbors.  The 'bag' as MIT calls it:

The MIT bag model confines three non-interacting quarks to a spherical cavity, with the boundary condition that the quark vector current vanish on the boundary.

Close, they need the Efimov effect.  But the 'bag' itself has it own hyperbolic arms, moving positive charge to the electron and negative charge to the outside surface of the orbitals.  Think flow, three sized bubble trying to fit in this curved space.
The surface current on that bag are high frequency, near the Higgs band limit. Add energy to the system and the three quarks flip to different positions on the surface, using kinetic energy to gain the bandwidth needed.  Those positions are complements to the electron orbitals at high energies.

The day is coming when physicists and mathematicians will simply write out the spectral modes for three sphere packing under a given space curvature.  Physics will suddenly be a lot simpler.